List questions from closed-form

Published on 04 Dec 2018 - 23:56

321

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Closed form for $1+\frac{1}{2} + \frac{1}{3} + \dots + \frac{1}{n}$?

Published on 25 Mar 2026 - 6:04

40

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How to get this closed form for such recurrence?

Published on 07 Dec 2018 - 14:29

56

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$A$ is compact and closed then prove ...

Published on 10 Dec 2018 - 6:04

507

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Evaluating $1-\frac12-\frac13+\frac14+\frac15+\frac16-\cdots$

Published on 25 Mar 2026 - 6:04

1k

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Evaluate$\int\limits_0^1 [\log(x)\log(1-x)+\operatorname{Li}_2(x)]\left[\frac{\operatorname{Li}_2(x)}{x(1-x)}-\frac{\zeta(2)}{1-x}\right]\mathrm dx$

Published on 25 Mar 2026 - 1:18

251

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Compound Binomial-Exponential: Closed form for the PDF?

Published on 14 Dec 2018 - 22:18

974

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Integral $\int_0^1 \frac{dx}{\prod_{n=1}^\infty (1+x^n)}$

Published on 15 Dec 2018 - 10:28

195

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Finding a particular solution to a linear PDE

Published on 25 Mar 2026 - 9:24

1.9k

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Solving the integral $\int_0^{\pi/2}\log\left(\frac{2+\sin2x}{2-\sin2x}\right)\mathrm dx$

Published on 18 Dec 2018 - 1:42

1.3k

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Solving $\int\limits_{-\infty}^\infty \frac{1}{x^8+1}dx$ through Glasser's Master Theorem

Published on 19 Dec 2018 - 0:20

195

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Request for help to find a closed-form expression for $\sum_{n=0}^{\infty}\frac{(2n+15)^2}{(2n+11)^3\sqrt{(2n+13)}}$

Published on 19 Dec 2018 - 3:10

41

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Inverse of a number-valued function on a curve

Published on 19 Dec 2018 - 21:52

426

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A closed-form formula for the derivative of the matrix absolute value

Published on 25 Mar 2026 - 20:42

2.1k

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Evaluate $\int_{-\pi/4}^{\pi/4}\frac{x}{\sin x}\mathrm{d}x$

Published on 19 Mar 2026 - 13:23

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Evaluating the series $\sum_{k=1}^\infty 1/[k(k-1/2)]$

Closed form for $1+\frac{1}{2} + \frac{1}{3} + \dots + \frac{1}{n}$?

How to get this closed form for such recurrence?

$A$ is compact and closed then prove ...

Evaluating $1-\frac12-\frac13+\frac14+\frac15+\frac16-\cdots$

Evaluate$\int\limits_0^1 [\log(x)\log(1-x)+\operatorname{Li}_2(x)]\left[\frac{\operatorname{Li}_2(x)}{x(1-x)}-\frac{\zeta(2)}{1-x}\right]\mathrm dx$

Compound Binomial-Exponential: Closed form for the PDF?

Integral $\int_0^1 \frac{dx}{\prod_{n=1}^\infty (1+x^n)}$

Finding a particular solution to a linear PDE

Solving the integral $\int_0^{\pi/2}\log\left(\frac{2+\sin2x}{2-\sin2x}\right)\mathrm dx$

Solving $\int\limits_{-\infty}^\infty \frac{1}{x^8+1}dx$ through Glasser's Master Theorem

Request for help to find a closed-form expression for $\sum_{n=0}^{\infty}\frac{(2n+15)^2}{(2n+11)^3\sqrt{(2n+13)}}$

Inverse of a number-valued function on a curve

A closed-form formula for the derivative of the matrix absolute value

Evaluate $\int_{-\pi/4}^{\pi/4}\frac{x}{\sin x}\mathrm{d}x$

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